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Finding the Third Proportional to 8,092,350,469,140 and 17,474,481,257,426

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Solution

The third proportional to 8,092,350,469,140 and 17,474,481,257,426 is: 37,734,091,767,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092,350,469,140 : 17,474,481,257,426 = 17,474,481,257,426 : x
  2. Step 2: Convert to fraction form
    8,092,350,469,140/17,474,481,257,426 = 17,474,481,257,426/x
  3. Step 3: Cross multiply
    8,092,350,469,140x = 17,474,481,257,426 × 17,474,481,257,426
  4. Step 4: Simplify right side
    8,092,350,469,140x = 305,357,495,216,132,560,005,365,760
  5. Step 5: Solve for x
    x = 305,357,495,216,132,560,005,365,760/8,092,350,469,140
  6. Step 6: Final answer
    x = 37,734,091,767,355.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.